Well, HF doesn't "go" for anything specific in the body, but the fluorine will readily react with calcium ions, forming insoluble CaF2. Calcium plays a vital role in many functions of the body. Its mostly known as a component of bone, which HF will readily disturb and dissolve, but it also involved in neurochemistry.
Hf is a poison with two faces: Its highly corrosive acid, comparable to HCl or HNO3, but the really mean part is how poisonous fluoride is to the human body. Fluroine is an element completely alien to life, although it is used in toothpastes because it can help give teeth a better-than-nature-provides protection against caries.
Such toothpastes contain no more that about 0.1% of fluorine, and also a warning not to ingest them, and not use them for children. Even these tiny amounts of fluorine can adversely affect neural development in children, and if ingested even do damage to adults on the long term.
The dissolving-glass aspect is just a curiosity, and not important for biological hazard. As far as the latter goes, fluorine is a darn dangerous element, comparable in toxicity with things like ionic mercury, arsenic and such.